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Gravitation

JEE Main level, numerical answer, medium

136 of 223

Question 136 of 223

The radius in kilometer to which the present radius of earth $(R=6400km)$ to be compressed so that the escape velocity is increased $10$ time is _______.

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Answer: 64

{V}_{e}=\sqrt{\dfrac{2Gm}{R}}\ldots \left(1\right)

10{V}_{e}=\sqrt{\dfrac{2Gm}{{R}^{'}}}\ldots \left(2\right)

∴10=\sqrt{{\dfrac{R}{R}}^{'}}

\Rightarrow {R}^{'}=\dfrac{R}{100}=\dfrac{6400}{100}=64km

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Gravitation (Gravitational potential and Potential Energy), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

The radius in kilometer to which the present radius of earth (R=6400km)(R=6400km)(R=6400km) to be compressed so that the escape velocity is increased 101010 time is _______.

JEE Main question paper PDF

More Physics practice

The radius in kilometer to which the present radius of earth $(R=6400km)$ to be compressed so that the escape velocity is increased $10$ time is _______.